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Finding the Third Proportional to 17,284 and 18,724

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Solution

The third proportional to 17,284 and 18,724 is: 20,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284 : 18,724 = 18,724 : x
  2. Step 2: Convert to fraction form
    17,284/18,724 = 18,724/x
  3. Step 3: Cross multiply
    17,284x = 18,724 × 18,724
  4. Step 4: Simplify right side
    17,284x = 350,588,176
  5. Step 5: Solve for x
    x = 350,588,176/17,284
  6. Step 6: Final answer
    x = 20,283.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.